10009101001001 has 2 divisors, whose sum is σ = 10009101001002. Its totient is φ = 10009101001000.

The previous prime is 10009101000991. The next prime is 10009101001021. The reversal of 10009101001001 is 10010010190001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9750349728025 + 258751272976 = 3122555^2 + 508676^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10009101001001 is a prime.

It is not a weakly prime, because it can be changed into another prime (10009101001021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5004550500500 + 5004550500501.

It is an arithmetic number, because the mean of its divisors is an integer number (5004550500501).

Almost surely, 2^{10009101001001} is an apocalyptic number.

It is an amenable number.

10009101001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10009101001001 is an equidigital number, since it uses as much as digits as its factorization.

10009101001001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 10009101001001 its reverse (10010010190001), we get a palindrome (20019111191002).

The spelling of 10009101001001 in words is "ten trillion, nine billion, one hundred one million, one thousand, one".